 Problem Statement
 I wonder if there is a formula for this summation: ##\sum_{n=1}^5= \frac 1n##
 Relevant Equations

I know some formulas for summations but I don't know any formula for this case
##\sum_{k=1}^n=\frac{n({n+1})}2##
I look though some algebra and calculus books but I didn't see any formula for this some, and I am stuck here. I can just represent it in a notation but I cannot think a formulation to obtain the result.
##\sum_{k=1}^{n=5}=\frac {n!}{n!k} ##
Thank you.
##\sum_{k=1}^{n=5}=\frac {n!}{n!k} ##
Thank you.
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